GCD of 394, 822, 78, 413 Calculator

Given Input numbers are 394, 822, 78, 413

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 394, 822, 78, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 822, 78, 413 is 1.

Therefore, GCD of numbers 394, 822, 78, 413 is 1

Given Input Data is 394, 822, 78, 413

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 394 is 2 x 197

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 413 is 7 x 59

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(394, 822) = 161934

GCD(394, 822) = ( 394 x 822 ) / 161934

GCD(394, 822) = 323868 / 161934

GCD(394, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 413

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

GCD(2, 413) = 826 / 826

GCD(2, 413) = 1

GCD of 394, 822, 78, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 485, 78, 117
• GCD of 458, 490, 45, 193
• GCD of 995, 652, 58, 938
• GCD of 432, 247, 82, 217
• GCD of 834, 905, 84, 654

1. What is the GCD of 394, 822, 78, 413?

GCD of 394, 822, 78, 413 is 1

2. Where do I get the detailed procedure to find GCD of 394, 822, 78, 413?

You can find a detailed procedure to find GCD of 394, 822, 78, 413 on our page.

3. How to find GCD of 394, 822, 78, 413 on a calculator?

You can find the GCD of 394, 822, 78, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.